461191200 has 144 divisors (see below), whose sum is σ = 1527089760. Its totient is φ = 120862720.

The previous prime is 461191189. The next prime is 461191201. The reversal of 461191200 is 2191164.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (461191201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139972 + ... + 143228.

It is an arithmetic number, because the mean of its divisors is an integer number (10604790).

Almost surely, 2^461191200 is an apocalyptic number.

461191200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461191200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763544880).

461191200 is an abundant number, since it is smaller than the sum of its proper divisors (1065898560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

461191200 is a wasteful number, since it uses less digits than its factorization.

461191200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3339 (or 3326 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 461191200 is about 21475.3626279046. The cubic root of 461191200 is about 772.6100219287.

The spelling of 461191200 in words is "four hundred sixty-one million, one hundred ninety-one thousand, two hundred".